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Adaptive anti-lag synchronization of two identical or non-identical hyperchaotic complex nonlinear systems with uncertain parameters. (English) Zbl 1273.93007
Summary: In this paper we present the adaptive Anti-Lag Synchronization (ALS) of two identical or non-identical hyperchaotic complex nonlinear systems with uncertain parameters. The concept of ALS is not detected yet in the literature. Based on the Lyapunov function a scheme is designed to achieve ALS of hyperchaotic attractors of these systems. The ALS of two identical complex Lü systems and two different hyperchaotic complex Lorenz and Lü systems are taken as two examples to verify the feasibility of the presented scheme. These hyperchaotic complex systems appear in several applications in physics, engineering and other applied sciences. Numerical simulations are calculated to demonstrate the effectiveness of the proposed synchronization scheme and verify the theoretical results.

##### MSC:
 93A14 Decentralized systems 93C10 Nonlinear systems in control theory 93C15 Control/observation systems governed by ordinary differential equations 34H10 Chaos control for problems involving ordinary differential equations
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